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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
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Consider a function $f:\mathbb{N}\to\mathbb{R}$ satisfying
\[
f(1)+2f(2)+3f(3)+\cdots+xf(x)=x(x+1)f(x),\quad x\ge 2,
\]
with $f(1)=1$. Then
\[
\frac{1}{f(2022)}+\frac{1}{f(2028)}
\]
is equal to:
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